High Quality Content by WIKIPEDIA articles! Strahle's construction is a geometric method for determining the lengths for a series of otherwise uniform vibrating strings to sound pitches in a specific rational tempered musical tuning. It was first published in the 1743 Proceedings of the Royal Swedish Academy of Sciences by Swedish master organ maker Daniel Strahle (1700-1746). The Academy's secretary Jacob Faggot appended a miscalculated series of pitches to the article, and these figures were reproduced by Friedrich Wilhelm Marpurg in Versuch uber die musikalische Temperatur in 1776. Several German textbooks published about 1800 reported that the mistake was first identified by Christlieb Benedikt Funk in 1779, but the construction itself appears to have received little notice until the middle of the twentieth century when tuning theorist J. Murray Barbour presented it as a good method for approximating equal temperament and similar exponentials of small roots, and generalized its underlying mathematical principles.

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